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Finding the Fourth Proportional to 565,470.86, 780,350.38 and 310,816.58

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Solution

The fourth proportional to 565,470.86, 780,350.38 and 310,816.58 is: 428,927.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,470.86 : 780,350.38 = 310,816.58 : x
  2. Step 2: Convert to fraction form
    565,470.86/780,350.38 = 310,816.58/x
  3. Step 3: Cross multiply
    565,470.86x = 780,350.38 × 310,816.58
  4. Step 4: Simplify right side
    565,470.86x = 242,545,836,313.30
  5. Step 5: Solve for x
    x = 242,545,836,313.30/565,470.86
  6. Step 6: Final answer
    x = 428,927.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.